Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics B

Calculation of the elastic collision properties of Na and Li atoms at ultracold temperature

Zhang Ji-Cai, Ying Zhang, Du Bing-Ge, Sun Jin-Feng

Published Mar 17, 2009• 2 citations
Publisher

Abstract

This paper firstly reports a theoretical study of elastic scattering properties in a mixture of 23 Na and 7 Li atoms at cold and ultracold temperatures in detail. Based on the new constructed accurate singlet X 1 Σ + g and the triplet α 3 Σ + u states interatomic potentials for 23 Na 7 Li mixture, it calculates the scattering lengths and the effective ranges by three computational methods, and obtains good agreements. Using the mass scaling method, it also calculates 23 Na 6 Li scattering lengths and s-wave and total elastic cross sections, whose rich resonance structures were found and interpreted in terms of quasibound diatomic levels trapped behind a centrifugal barrier.

DOI
10.1088/1674-1056/18/4/033

Related papers

Calculation of scattering parameters for ultracold 6 Li— 7 Li elastic collisions

Jicai Zhang, Jinfeng Sun, Yufang Liu

This paper theoretically studies the elastic scattering properties in a mixture of 6Li and 7Li atoms at cold and ultracold temperatures. Based on the constructed accurate interatomic potential of the triplet state for 6Li7Li mixture by the mass scaling method, it calculates the interspecies s-wave scattering lengths and the p-wave scattering lengths by the variable phase method and the semiclassical method, respectively. The scattering length is in good agreement with the experiment. The partial-wave and total cross sections are also calculated and a rich resonance structure is found.

Chinese Physics B•Feb 1, 2011•5 citations

Accurate calculation of the elastic scattering properties of 7 Li atoms at ultralow temperatures

Sun Jin-Feng, Zhang Ji-Cai, Jiemin Wang

The elastic scattering properties for collisions between two 7 Li atoms are investigated in the cold and ultracold regimes separately. Based on recent theoretical and experimental results, we present the improved hybrid potentials for the singlet X 1 ∑ g + and triplet a 3 ∑ u + ground states of the Li 2 . Our calculated values for the scattering lengths a and the effective ranges r e are compared with previous ones and found them to be in good agreement. The scattering lengths are 34.6 a 0 for the singlet state and −27.6 a 0 for the triplet state. Shape resonances occur in the collisions at low energies. We also calculate the total cross sections and the energy positions of shape resonances for both X 1 ∑ g + and a 3 ∑ u + states.

Chinese Physics•Mar 1, 2006•19 citations

Accurate calculation of elastic scattering properties of ultracold sodium atoms

Zhang Ji-Cai, Zhu Zun-L uuml e, Sun Jin-Feng

Based on the accurate singlet and triplet state interatomic potentials for Na2, a theoretical study of elastic scattering properties of sodium atoms at ultracold temperatures is reported in this paper. The s-wave scattering length, effective range, the p-wave scattering length and the number of bound states are calculated. The singlet and triplet elastic scattering cross section between sodium aotms at ultracold temperatures are dominated by s-wave scattering, and shape resonances occur with collision energy increasing. There exist pronounced f-wave and i-wave shape resonances for the singlet and triplet cross section. In addition, s-wave scattering length is calculated by using the degenerate internet state approximation for selected hyperfine states of sodium atoms. The results are in agreement with calculated values obtained by close-coupling method.

Acta Physica Sinica•Jan 1, 2013•1 citation

Elastic scattering of sodium and cesium atoms at ultracold temperatures

Jicai Zhang, Kedong Wang, Yufang Liu +1 more

The elastic scattering properties in a mixture of sodium and cesium atoms are investigated at cold and ultracold temperatures. Based on the accurate interatomic potential for the NaCs mixture, the interspecies s-wave scattering lengths, the effective ranges and the p-wave scattering lengths are calculated by the quantal method and the semiclassical method, respectively. The s-wave scattering lengths are 512.7 a 0 for the singlet state and 33.4 a 0 for the triplet state. In addition, the spin-change and elastic cross sections are also calculated, and the g-wave shape resonance is found in the total elastic cross sections.

Chinese Physics B•Sep 1, 2011•3 citations

Elastic Scattering between Ultracold 23 Na and 85 Rb Atoms in the Triplet State

Qiubo Hu, Yong-Sheng Zhang, Jinfeng Sun +1 more

The elastic scattering properties between ultracold 23 Na and 85 Rb atoms for the triplet state (a 3 Σ + u ) are researched. The s-wave scattering lengths of 23 Na and 85 Rb are calculated by the Numerov and semiclassical method with two kinds of interatomic potentials, which are the interpolation potential and Lennard—Jones potential (LJ 12,6 ) by the same phase Φ. Shape resonances appear clearly in the l = 5 partial waves for the a 3 Σ + u state. Moreover, the s-wave scattering cross section, total cross section and energy positions of shape resonances are also discussed.

Chinese Physics Letters•Apr 1, 2011•0 citations

Elastic Scattering of Ultracold 23 Na and 39 K Atoms in the Singlet State

Hu Qiu-Bo, Zhang Yong-Sheng, Sun Jin-Feng

The elastic scattering properties for collisions between ultracold Na and K atoms in the singlet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for the singlet X 1 Σ g + ground state of NaK. By means of the Numerov and semiclassical methods, the values of the s-wave scattering length a for the singlet state are calculated to be 33.3757 a 0 and 37.9399 a 0 , respectively. Pronounced shape resonances appear for the l = 1 partial wave for the X 1 Σ g + state. In addition, the s-wave scattering cross section, total cross section and energy positions of shape resonances for the X 1 Σ g + state are discussed.

Chinese Physics Letters•Feb 1, 2010•1 citation
This paper firstly reports a theoretical study of elastic scattering properties in a mixture of 23 Na and 7 Li atoms at cold and ultracold temperatures in detail. Based on the new constructed accurate singlet X 1 Σ + g and the triplet α 3 Σ + u states interatomic potentials for 23 Na 7 Li mixture, it calculates the scattering lengths and the effective ranges by three computational methods, and obtains good agreements. Using the mass scaling method, it also calculates 23 Na 6 Li scattering lengths and s-wave and total elastic cross sections, whose rich resonance structures were found and interpreted in terms of quasibound diatomic levels trapped behind a centrifugal barrier.
This paper theoretically studies the elastic scattering properties in a mixture of 6Li and 7Li atoms at cold and ultracold temperatures. Based on the constructed accurate interatomic potential of the triplet state for 6Li7Li mixture by the mass scaling method, it calculates the interspecies s-wave scattering lengths and the p-wave scattering lengths by the variable phase method and the semiclassical method, respectively. The scattering length is in good agreement with the experiment. The partial-wave and total cross sections are also calculated and a rich resonance structure is found.
The elastic scattering properties for collisions between two 7 Li atoms are investigated in the cold and ultracold regimes separately. Based on recent theoretical and experimental results, we present the improved hybrid potentials for the singlet X 1 ∑ g + and triplet a 3 ∑ u + ground states of the Li 2 . Our calculated values for the scattering lengths a and the effective ranges r e are compared with previous ones and found them to be in good agreement. The scattering lengths are 34.6 a 0 for the singlet state and −27.6 a 0 for the triplet state. Shape resonances occur in the collisions at low energies. We also calculate the total cross sections and the energy positions of shape resonances for both X 1 ∑ g + and a 3 ∑ u + states.
Based on the accurate singlet and triplet state interatomic potentials for Na2, a theoretical study of elastic scattering properties of sodium atoms at ultracold temperatures is reported in this paper. The s-wave scattering length, effective range, the p-wave scattering length and the number of bound states are calculated. The singlet and triplet elastic scattering cross section between sodium aotms at ultracold temperatures are dominated by s-wave scattering, and shape resonances occur with collision energy increasing. There exist pronounced f-wave and i-wave shape resonances for the singlet and triplet cross section. In addition, s-wave scattering length is calculated by using the degenerate internet state approximation for selected hyperfine states of sodium atoms. The results are in agreement with calculated values obtained by close-coupling method.
The elastic scattering properties in a mixture of sodium and cesium atoms are investigated at cold and ultracold temperatures. Based on the accurate interatomic potential for the NaCs mixture, the interspecies s-wave scattering lengths, the effective ranges and the p-wave scattering lengths are calculated by the quantal method and the semiclassical method, respectively. The s-wave scattering lengths are 512.7 a 0 for the singlet state and 33.4 a 0 for the triplet state. In addition, the spin-change and elastic cross sections are also calculated, and the g-wave shape resonance is found in the total elastic cross sections.
The elastic scattering properties between ultracold 23 Na and 85 Rb atoms for the triplet state (a 3 Σ + u ) are researched. The s-wave scattering lengths of 23 Na and 85 Rb are calculated by the Numerov and semiclassical method with two kinds of interatomic potentials, which are the interpolation potential and Lennard—Jones potential (LJ 12,6 ) by the same phase Φ. Shape resonances appear clearly in the l = 5 partial waves for the a 3 Σ + u state. Moreover, the s-wave scattering cross section, total cross section and energy positions of shape resonances are also discussed.
The elastic scattering properties for collisions between ultracold Na and K atoms in the singlet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for the singlet X 1 Σ g + ground state of NaK. By means of the Numerov and semiclassical methods, the values of the s-wave scattering length a for the singlet state are calculated to be 33.3757 a 0 and 37.9399 a 0 , respectively. Pronounced shape resonances appear for the l = 1 partial wave for the X 1 Σ g + state. In addition, the s-wave scattering cross section, total cross section and energy positions of shape resonances for the X 1 Σ g + state are discussed.